Optimizing a Variational Quantum Classifier through the Behavior Analysis of its Components

A. Haque
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Abstract

Quantum computer introduces a novel approach to process information. In quantum information processing, the law of quantum mechanics is applied to solve many practical computational problems. Classification is one such problem that can be resolved efficiently with the gate model quantum computer. There are several types of classifiers available in quantum domain, such as- variational quantum classifier (VQC), Quantum Support Vector Machine (QSVM) with Kernel Approximation, Hybrid Quantum Neural Network (QNN) etc. However, in this study, the mathematical similarities between VQC and classical support vector machine (SVM) and the components of the VQC are analyzed to optimize the performance of the classifier. For the convenience of the study, publicly available datasets, such as- IRIS dataset and Breast cancer dataset, are used in the experiments. IRIS dataset is brought into play for the testing and breast cancer dataset dimension reduced by Principle component analysis (PCA) is for validity test of the optimized VQC. After studying the VQC components in detail, it is found that the optimized VQC outperforms some of the classical machine learning algorithms or sometimes works as similar as classical SVM. The optimized VQC algorithm classifies IRIS dataset with 100% of accuracy and PCA dimension reduced Breast cancer dataset with 90% of accuracy. All of these studies are conducted with the help of Qiskit- an open-source software development kit (SKD) which is developed by IBM. So, the quantum device is considered to be ideal in every experiment.
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基于变分量子分类器组件行为分析的优化方法
量子计算机引入了一种新的信息处理方法。在量子信息处理中,量子力学定律被应用于解决许多实际计算问题。分类就是这样一个问题,门模型量子计算机可以有效地解决这个问题。在量子领域有几种分类器,如变分量子分类器(VQC)、核近似量子支持向量机(QSVM)、混合量子神经网络(QNN)等。然而,在本研究中,分析了VQC与经典支持向量机(SVM)之间的数学相似性以及VQC的组成部分,以优化分类器的性能。为了研究的方便,实验中使用了公开可用的数据集,如- IRIS数据集和乳腺癌数据集。利用IRIS数据集进行检测,通过主成分分析(PCA)对乳腺癌数据集降维,对优化后的VQC进行效度检验。在详细研究了VQC的组成部分后,我们发现优化后的VQC比一些经典的机器学习算法性能更好,有时甚至与经典的SVM相似。优化后的VQC算法对IRIS数据集的分类准确率为100%,对PCA降维乳腺癌数据集的分类准确率为90%。所有这些研究都是在Qiskit的帮助下进行的,Qiskit是IBM开发的开源软件开发工具包(SKD)。因此,量子器件在每个实验中都被认为是理想的。
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